# A consumer research group is interested in testing an automobile manufacturer’s claim that a new economy model will travel at least 25 miles per gallon of gasoline ( H 0 : μ ≥ 25). a. With a .02 level of significance and a sample of 30 cars, what is the rejection rule based on the value of x ¯ for the test to determine whether the manufacturer’s claim should be rejected? Assume that σ is 3 miles per gallon. b. What is the probability of committing a Type II error if the actual mileage is 23 miles per gallon? c. What is the probability of committing a Type II error if the actual mileage is 24 miles per gallon? d. What is the probability of committing a Type II error if the actual mileage is 25.5 miles per gallon?

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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Chapter 9.6, Problem 49E
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